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Finding the Third Proportional to 157.97 and 277.69

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Solution

The third proportional to 157.97 and 277.69 is: 488.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.97 : 277.69 = 277.69 : x
  2. Step 2: Convert to fraction form
    157.97/277.69 = 277.69/x
  3. Step 3: Cross multiply
    157.97x = 277.69 × 277.69
  4. Step 4: Simplify right side
    157.97x = 77,110.35
  5. Step 5: Solve for x
    x = 77,110.35/157.97
  6. Step 6: Final answer
    x = 488.14

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Why These Related Problems?

These problems maintain the same ratio (1.76) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.